$1.$ How much would you pay for the right to receive $$12,000$ at the end of $15$ years if you can earn a $15\%$ return on a real estate investment with similar risk?

$2.$ What constant amount invested at the end of each year at a $10\%$ annual interest rate will be worth $$20,000$

at the end of five years?

$3.$ Your father will convey a property to you in $10$ years. If the property is expected to be worth $$500,000$

when you receive it$,$ what is the present value of the property? Your discount rate is $15\%.$

$4.$ What is the NPV of $$600$ received for the next four years and $$1,500$ received at the end of the fifth year if your required return is $10\%?$

$5.$ Assuming no income or holding costs during the period, if you purchased a vacant parel of land five years ago for $$1,350,000,$ how much would you have to sell it for to yield a $12\%$ annual return on your investment?